3x+59=7(2x-1)

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Solution for 3x+59=7(2x-1) equation:


Simplifying
3x + 59 = 7(2x + -1)

Reorder the terms:
59 + 3x = 7(2x + -1)

Reorder the terms:
59 + 3x = 7(-1 + 2x)
59 + 3x = (-1 * 7 + 2x * 7)
59 + 3x = (-7 + 14x)

Solving
59 + 3x = -7 + 14x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-14x' to each side of the equation.
59 + 3x + -14x = -7 + 14x + -14x

Combine like terms: 3x + -14x = -11x
59 + -11x = -7 + 14x + -14x

Combine like terms: 14x + -14x = 0
59 + -11x = -7 + 0
59 + -11x = -7

Add '-59' to each side of the equation.
59 + -59 + -11x = -7 + -59

Combine like terms: 59 + -59 = 0
0 + -11x = -7 + -59
-11x = -7 + -59

Combine like terms: -7 + -59 = -66
-11x = -66

Divide each side by '-11'.
x = 6

Simplifying
x = 6

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